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Rina8888 [55]
3 years ago
12

This is for literal equations A=4 πr2 (r2) i think you solve for r2

Mathematics
1 answer:
Sedaia [141]3 years ago
3 0

Answer:

r^2=\dfrac{A}{4\pi}

Step-by-step explanation:

The given equation is A=4 πr².

We need to solve the above equation for r².

We have,

A=4πr²

Dividing both sides by 4π, we get :

\dfrac{A}{4\pi}=\dfrac{4\pi r^2}{4\pi}\\\\r^2=\dfrac{A}{4\pi}

Hence, the value of r² is equal to \dfrac{A}{4\pi}.

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The number of leaves that fall off a tree n days after day 1 is given by the function f (n) = 3(2)".
densk [106]

Answer:

A. On the first day, 3 leaves fall.

B. D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.

Step-by-step explanation:

Given

f(n) = 3(2)^n

Solving (a) The meaning of 3.

3 represents the initial number of leaves (i.e. the first day) and this proved as follows.

On the first day, n = 0.

Substitute 0 for n in f(n) = 3(2)^n

f(0) = 3(2)^0

f(0) = 3*1

f(0) = 3

Solving (b) The meaning of 2.

2 represents the rate which leaves fall down.

In (a)

f(0) = 3

Take n = 1

Substitute 1 for n in f(n) = 3(2)^n

f(1) = 3(2)^1

f(1) = 3*2

f(1) = 6

When f(1) is divided by f(0), the result 2. So, the number of leaves doubles everyday

4 0
3 years ago
I just need a starter to help me on this. Thanks:)
zhenek [66]
I could help. So mark days as the X value and hours as the Y value
so for the days(x) start with 1 and put in the hours(y) 24 the for the second column in the days(x) box put 2 and in the hours(y) put 48 then continue to at 12 to the hours(y) and 1 to the days(x)
5 0
3 years ago
F(x) = 3x + x3
____ [38]

Answer:

Please check the explanation.

Step-by-step explanation:

Given

f(x) = 3x + x³

Taking differentiate

\frac{d}{dx}\left(3x+x^3\right)

\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'

=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)

solving

\frac{d}{dx}\left(3x\right)

\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'

=3\frac{d}{dx}\left(x\right)

\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1

=3\cdot \:1

=3

now solving

\frac{d}{dx}\left(x^3\right)

\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}

=3x^{3-1}

=3x^2

Thus, the expression becomes

\frac{d}{dx}\left(3x+x^3\right)=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)

                    =3+3x^2

Thus,

f'(x) = 3 + 3x²

Given that f'(x) = 15

substituting the value  f'(x) = 15 in f'(x) = 3 + 3x²

f'(x) = 3 + 3x²

15 =  3 + 3x²

switch sides

3 + 3x² = 15

3x² = 15-3

3x² = 12

Divide both sides by 3

x² = 4

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

x=\sqrt{4},\:x=-\sqrt{4}

x=2,\:x=-2

Thus, the value of x​ will be:

x=2,\:x=-2

5 0
3 years ago
0.2% as a whole number
il63 [147K]

Answer:

0

Step-by-step explanation:

You can't make 0.2 as a whole number so we can round it to the nearest whole number, 0.

3 0
2 years ago
Read 2 more answers
What type of triangle has exactly two acute angles?
Rufina [12.5K]
The correct answer is right.

An acute one would have all three acute, while an obtuse one would have at least one obtuse angle.
5 0
3 years ago
Read 2 more answers
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